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Finding the Fourth Proportional to 416,408.05, 574,608.16 and 244,307.89

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Solution

The fourth proportional to 416,408.05, 574,608.16 and 244,307.89 is: 337,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,408.05 : 574,608.16 = 244,307.89 : x
  2. Step 2: Convert to fraction form
    416,408.05/574,608.16 = 244,307.89/x
  3. Step 3: Cross multiply
    416,408.05x = 574,608.16 × 244,307.89
  4. Step 4: Simplify right side
    416,408.05x = 140,381,308,170.03
  5. Step 5: Solve for x
    x = 140,381,308,170.03/416,408.05
  6. Step 6: Final answer
    x = 337,124.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.